What is the Greatest Common Factor of 12404 and 12418?

Greatest common factor (GCF) of 12404 and 12418 is 14.

GCF(12404,12418) = 14

We will now calculate the prime factors of 12404 and 12418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12404 and 12418.

How to find the GCF of 12404 and 12418?

We will first find the prime factorization of 12404 and 12418. After we will calculate the factors of 12404 and 12418 and find the biggest common factor number .

Step-1: Prime Factorization of 12404

Prime factors of 12404 are 2, 7, 443. Prime factorization of 12404 in exponential form is:

12404 = 2² × 7¹ × 443¹

Step-2: Prime Factorization of 12418

Prime factors of 12418 are 2, 7, 887. Prime factorization of 12418 in exponential form is:

12418 = 2¹ × 7¹ × 887¹

Step-3: Factors of 12404

List of positive integer factors of 12404 that divides 12404 without a remainder.

1, 2, 4, 7, 14, 28, 443, 886, 1772, 3101, 6202

Step-4: Factors of 12418

List of positive integer factors of 12418 that divides 12404 without a remainder.

1, 2, 7, 14, 887, 1774, 6209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12404 and 12418. The biggest common factor number is the GCF number.
So the greatest common factor 12404 and 12418 is 14.

Also check out the Least Common Multiple of 12404 and 12418